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- Laboratoire de Probabilités et Modèles AléatoiresFR56 papers
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21 papers · 1 filter
The critical random barrier for the survival of branching random walk with absorption
Bruno Jaffuel
We study a branching random walk on $\r$ with an absorbing barrier. The position of the barrier depends on the generation. In each generation, only the individuals born below the b…
Linear drift and entropy for regular covers
François Ledrappier
We consider a regular Riemannian cover $\M$ of a compact Riemannian manifold. The linear drift and the Kaimanovich entropy are geometric invariants defined by asymptotic…
Universal Gaussian fluctuations of non-Hermitian matrix ensembles
Ivan Nourdin, Giovanni Peccati
We prove multi-dimensional central limit theorems for the spectral moments (of arbitrary degrees) associated with random matrices with real-valued i.i.d. entries, satisfying some a…
Optimal double stopping time
Magdalena Kobylanski, Marie-Claire Quenez, Elisabeth Rouy-Mironescu
We consider the optimal double stopping time problem defined for each stopping time by $v(S)=\esssup\{E[ψ(τ_1, τ_2) | \F_S], τ_1, τ_2 \geq S \}$. Following the optimal one stop…
Optimal investment on finite horizon with random discrete order flow in illiquid markets
Paul Gassiat, Huyen Pham, Mihai Sirbu
We study the problem of optimal portfolio selection in an illiquid market with discrete order flow. In this market, bids and offers are not available at any time but trading occurs…
An application to credit risk of a hybrid Monte Carlo-Optimal quantization method
Giorgia Callegaro, Abass Sagna
In this paper we use a hybrid Monte Carlo-Optimal quantization method to approximate the conditional survival probabilities of a firm, given a structural model for its credit defau…